Coffee Shop campus has one barista. Students arrive at the rate of 20 students per hour according a Poisson distribution. The service time is estimated to be 2 customers per minute (exponentially distributed). Please calculate the average number of customers in the system. (Show your work) What is the probability that exactly 20 customers will arrive in a 1-hour period? (Show your work) Suppose that a student arrival rate increases to 35 students per hour according a Poisson distribution. What dynamics you would observe in the waiting line. How many people would be in the system (both waiting and being served)?
Coffee Shop campus has one barista. Students arrive at the rate of 20 students per hour according a Poisson distribution. The service time is estimated to be 2 customers per minute (exponentially distributed). Please calculate the average number of customers in the system. (Show your work) What is the probability that exactly 20 customers will arrive in a 1-hour period? (Show your work) Suppose that a student arrival rate increases to 35 students per hour according a Poisson distribution. What dynamics you would observe in the waiting line. How many people would be in the system (both waiting and being served)?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Transcribed Image Text:Coffee Shop campus has one barista. Students arrive at the rate of 20 students per hour according a
Poisson distribution. The service time is estimated to be 2 customers per minute (exponentially
distributed).
Please calculate the average number of customers in the system. (Show your work)
What is the probability that exactly 20 customers will arrive in a 1-hour period? (Show your work)
Suppose that a student arrival rate increases to 35 students per hour according a Poisson distribution.
What dynamics you would observe in the
waiting line. How many people would be in the system (both waiting and being served)?
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